This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A188710 #11 Apr 28 2018 12:49:17 %S A188710 21,288,4084,57665,813309,11462588,161506225,2275402541,32056524184, %T A188710 451618426905,6362474783637,89635548416108,1262799579803897, %U A188710 17790516723173509,250635561977240232,3530992705334939489 %N A188710 Number of 6 X n binary arrays without the pattern 0 0 diagonally or vertically. %C A188710 Row 6 of A188706. %H A188710 R. H. Hardin, <a href="/A188710/b188710.txt">Table of n, a(n) for n = 1..200</a> %F A188710 Empirical: a(n) = 21*a(n-1) - 112*a(n-2) + 217*a(n-3) - 157*a(n-4) + 36*a(n-5) for n>6. %F A188710 Empirical g.f.: x*(21 - 153*x + 388*x^2 - 400*x^3 + 553*x^4 - 189*x^5) / (1 - 21*x + 112*x^2 - 217*x^3 + 157*x^4 - 36*x^5). - _Colin Barker_, Apr 28 2018 %e A188710 Some solutions for 6 X 3: %e A188710 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 %e A188710 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 %e A188710 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 %e A188710 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 %e A188710 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 %e A188710 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 %Y A188710 Cf. A188706. %K A188710 nonn %O A188710 1,1 %A A188710 _R. H. Hardin_, Apr 08 2011